Answer:
B<C
Step-by-step explanation:
-a is the opposite of a. Since a is a negative number, it will become positive and be bigger than b, which is negative.
c is a positive number, so the opposite will be negative and can not be bigger than c.
Answer:
107/33
Step-by-step explanation:
107/33 is the rational number equivalent to 3 point 24 with a bar over 24.
Answer:
V( 3, -8 )
Step-by-step explanation:
Parable equation is of the form:
( x - h )² = 4p*(y - k)
In that expression, vertex has coordinates V ( h, k )
Then all we have to do is transform the given equation
y = x² - 6x + 1 or x² - 6x = y - 1 (1)
We can get a perfect square trinomial in the first member of the equation according to:
x² - 6x = ( x - 3 )² - 9
(x - 3 )² = x² - 6x + 9
By substitution en equation (1)
( x - 3 )² - 9 = y - 1
( x - 3 )² = y -1 + 9
( x - 3 )² = y + 8
( x - 3 )² = (y + 8 )
Then vertex coordinates are
V( 3 , -8)
2x^2 + 8x - 12 = 0..divide by 2
x^2 + 4x - 6 = 0
x^2 + 4x = 6...add 4 to both sides of the equation
x^2 + 4x + 4 = 6 + 4
(x + 2)^2 = 10....<== ur constant is 10
x + 2 = (+-)sqrt 10
x = -2 (+ - ) sqrt 10
x = -2 + sqrt 10
x = -2 - sqrt 10
Answer:
The point (2,12) is not a solution of the system
see the explanation
Step-by-step explanation:
we have
----> equation A
----> equation B
Solve the system by elimination
Adds equation A and equation B
Find the value of y
substitute the value of x in the equation A
The solution of the system is the point (-2,-8)
The system has only one solution, because the intersection point both lines is only one point
therefore
The point (2,12) is not a solution of the system
